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Calculating the original value worksheet (with solutions)

Calculating the original value worksheet (with solutions)

Subject: Mathematics

Age range: 11-14

Resource type: Worksheet/Activity

Last updated

2 August 2026

pdf, 75.76 KB
pdf, 75.76 KB

A worksheet on reverse percentages including exercises on calculating the original value given the value after a percentage increase or decrease. Detailed solutions are included.

Get this resource as part of a bundle and save up to 51%

A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.

Bundle

Reverse Percentages, Simple Interest & Solving Linear Equations Worksheets (+)

Eight worksheets for Year 9 students on the following topics: * Calculating the original value * Percentage increases and decreases * Simple interest * Equations with brackets * Equations with fractions * Factorising algebraic expressions * Multiplying out brackets * Rearranging formulae Detailed solutions are included. Eliminate planning time with this comprehensive Percentages and Algebra Worksheet Bundle! This resource covers a massive range of secondary maths skills, including reverse percentages, simple interest, expanding brackets, factorising, and solving linear equations with fractions. Equipped with step-by-step teacher solutions, it serves as a complete, plug-and-play toolkit for classwork, homework, or GCSE exam revision. ________________________________________ Equip your students with the tools to master core algebraic mechanics and real-world financial arithmetic. This comprehensive worksheet pack spans multiple vital maths topics, splitting focused, repetitive practice into clearly defined skill sections. It transitions smoothly from foundational algebraic properties to multi-step problem solving, ensuring students build true mathematical fluency for Key Stage 3 and Key Stage 4 (KS3/KS4). **Key Topics Covered** • **Reverse Percentages:** Finding the original value before a price increase, decrease, or holiday sale reduction. • **Simple Interest Financial Maths:** Working out interest accumulation, total loan balances, and calculating interest rates over time. • **Percentage Multipliers:** Quick-fire practice to master the exact multipliers needed for percentage change calculations. • **Solving Equations with Brackets:** Expanding singular brackets and solving multi-bracket algebraic equations. • **Solving Equations with Fractions:** Eliminating denominators and isolating variables to solve complex algebraic fractions. • **Expanding, Factorising & Simplifying:** Finding the highest common factor (HCF), fully factorising expressions, and simplifying by collecting like terms. **What is Included?** • Skill-Specific Practice Sheets: Independent worksheets targeted at isolating and mastering each individual mathematical method. • Real-World Word Problems: Applied tasks involving financial loans, currencies (£), ingredient recipes, and village populations to add context. • Full Step-by-Step Answer Keys: Detailed, worked-out solutions showing exactly how every equation is isolated and solved to make marking or student self-assessment effortless. **Why Teachers Love It** • Zero Prep Required: High-quality, clean formatting makes this a perfect grab-and-go packet. • Scaffolded Skill Development: Tasks move systematically from single-step mechanics to advanced problem solving. • Great for Differentiation: The variety of included topics makes this packet perfect for cover lessons, independent mastery, or intensive end-of-unit interventions.

£4.95
Bundle

Percentages Bundle: Increase and Decrease, Reverse Percentages, Simple Interest

Three worksheets on the following: calculating the percentage of an amount, finding the simple interest paid for a loan and the rate of interest given the interest paid and the amount loaned, increasing or decreasing an amount by a given percentage and working out the percentage increase or decrease given the original and final amount and calculating the original value given the value after a percentage increase or decrease. Detailed solutions are included. Master percentages with this comprehensive math worksheet pack! Covers percentage increase and decrease, calculating percentage change, reverse percentages (finding the original value), and simple interest with step-by-step answer keys. Perfect for KS3 and GCSE math lessons, independent practice, or functional skills revision! ________________________________________ **Product Description** Looking for a ready-to-print resource to help your students master multi-step percentage problems? This comprehensive worksheet packet breaks down complex percentage concepts into clear, digestible practice pages. Designed to build procedural fluency, students will progress from simple percentage changes to advanced skills like working backward to find original values and calculating monthly simple interest. Every single worksheet comes with a fully worked, step-by-step answer key—making marking effortless and allowing students to easily self-check their work! **Skills Covered in This Pack:** * **Percentage Increases & Decreases:** Multi-step real-world problems using multipliers. * **Percentage Change:** Calculating exact percentage growth and reductions. * **Finding the Original Value (Reverse Percentages):** Mastering backward calculation with step-by-step guidance. * **Simple Interest:** Real-world consumer math featuring both annual and monthly interest loan problems. **What’s Included in the Download:** * **Student Worksheet Packet:** Clean, distraction-free page layouts with plenty of room for student workings. * **Complete Teacher Answer Keys:** Fully worked-out solutions showing the multipliers and exact math steps for every problem. **Perfect For:** * **KS3 Maths** (Years 7, 8, and 9) Core Curriculum Progression * **GCSE Maths** Foundation & Higher Tier Revision * **Functional Skills Maths** (Level 1 & Level 2) * Independent Practice Pack, Homework Assignments, or Cover Lessons ________________________________________

£2.90

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